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Type of Document Dissertation Author Blue, James Lawrence URN etd-10022002-112524 Persistent URL http://resolver.caltech.edu/CaltechETD:etd-10022002-112524 Title A method of calculating Regge trajectories Degree PhD Option Physics Advisory Committee
Advisor Name Title unknown Committee Member Keywords
- none
Date of Defense 1966-02-15 Availability unrestricted Abstract NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document.
A method of calculating Regge trajectories is presented and tested. The method is based on dispersion relations and on Cheng's representation for the S-matrix in terms of the Regge trajectories. A non-linear equation must be solved to obtain [alpha](s). Potential theory calculations, using the Cheng representation and a modified representation, are made to test the method. To illustrate the application to relativistic scattering, a crude calculation of the rho trajectory is made. A self-consistent trajectory with the experimental mass and width does not exist, but one may be found if the width is about 200 MeV. Omitted physical effects are discussed, and comparison is made with Chew's strip approximation.
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